Along with the two you've mentioned, Mirror is one of the great masterworks of cinema (imo). If you're looking for 8/10+ I'd go with The Sacrifice too. Also, Andrei Rublev is amazing, and Solaris and Ivan's Childhood are superb.

Limited eh? You seem to have a good start. Give some Fassbinder, Bresson and Tsai a shot... seemingly incongruent with Woody Allen, Kubrick and Scott; but if you're a fan of Tarkovsky there's still hope!